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Finding the Third Proportional to 381,228 and 560,748

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Solution

The third proportional to 381,228 and 560,748 is: 824,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,228 : 560,748 = 560,748 : x
  2. Step 2: Convert to fraction form
    381,228/560,748 = 560,748/x
  3. Step 3: Cross multiply
    381,228x = 560,748 × 560,748
  4. Step 4: Simplify right side
    381,228x = 314,438,319,504
  5. Step 5: Solve for x
    x = 314,438,319,504/381,228
  6. Step 6: Final answer
    x = 824,803.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.